The number 33340
33340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1667. Divisors (12): 1, 2, 4, 5, 10, 20, 1667, 3334, 6668, 8335, 16670, 33340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33340 is composite. Its prime factorisation is
- 3
The divisors add up to 70056; without 33340 itself that is 36716, so 33340 is abundant (36716 is more than 33340). Euler's totient φ(33340) = 13328 numbers up to 33340 share no factor with it.
- 4
The digits of 33340 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33340 = 2^{2} \times 5 \times 1667 \]33340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70056 |
| Euler totient φ(n) | 13328 |
| Square | 1111555600 |
| Cube | 37059263704000 |
| Square root | 182.592442 (= 2√8335) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.334 × |
33340 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty |
| Binary (base 2) | 1000001000111100 |
| Octal (base 8) | 101074 |
| Hexadecimal (base 16) | 823C |
| Base 3 | 1200201211 |
| As time | 33340 seconds = 9 h 15 min 40 s |
Is 33340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33340 ÷ 2 = 16670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33340 ÷ 4 = 8335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33340 ÷ 5 = 6668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33340 ÷ 10 = 3334) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33340 a prime number?
No. 33340 = × 5 × 1667, so it is divisible by 2.
What are the factors of 33340?
1, 2, 4, 5, 10, 20, 1667, 3334, 6668, 8335, 16670, 33340.
What is 33340 in binary?
1000001000111100 (hexadecimal 823C, octal 101074).
What is the square root of 33340?
About 182.5924, exactly 2√8335.
Is 33340 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33340?
It is a composite number with 12 divisors.